Dividing a polynomial by a monomial: Univariate

Question

divide

6x⁷-27x³/3x³

Answer 1

To divide a polynomial by a monomial, you simply divide each term of the polynomial by the monomial.

In this case, we have:

(6x⁷ - 27x³) / 3x³

= 6x⁷ / 3x³ - 27x³ / 3x³

= 2x^(7-3) - 9

= 2x⁴ - 9

Therefore, the result of dividing 6x⁷ - 27x³ by 3x³ is 2x⁴ - 9.